# Differentiated Problems - Year 6 - Pet shop

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```					                       Year 6
differentiated   Doolot’s Petshop
Deliveries
The Doolots have their wild bird food delivered in 6kg bags which cost them £12.
To make a profit, the Doolots sell the food for twice the cost.

Customers like to buy the food in bags of 100g, 200g or 500g.
First Mr. Doolot has to work out how much each size of bag of food costs him, then
he works out how much to charge.

Do his calculations and work out the cost and the selling price of each bag.

The A B C of Weighing Puppies
The Doolots can’t give names to their puppies because that is for their owners to do.
So they name the puppies after letters of the alphabet, starting at A. Each litter of
puppies has its own set of letters with Aye the heaviest, Bee the next and so on.

There are three sets of triplet puppies in the shop and they have to be weighed as
part of their health check. The Spaniels weigh a total of 6kg, the Dalmatians weigh a
total of 10 kg and the Labradors a total of 12kg. Amazingly, the heaviest puppy in
each litter weighs the same as the other two puppies together.

See if you can work out the weight of each puppy in the three litters.

Counting is caring; Pets in proportion
As you may know the Doolots are very good at caring for their animals.
Every night they feed and count the animals.
At the end of one week they counted exactly 1 000 animals. What a friendly number!
Out of the 1000 animals, 25% were fish, 20% were birds, 3/10 were hamsters,
gerbils and mice, 0.1 were rabbits and the rest were a mixture of many animals
including 4 tarantulas and a lizard.

How many animals were in each group?

Coding the animals
Recently when it’s been quiet in the shop Mrs. Doolot has been giving the animals
numbers based on their names.
Each letter of the alphabet is given a number which is given by its position.
a = 1, b = 2, c = 3 right up to z = 26.
So cat is 3 + 1 + 20 = 24.
What will the ‘animal number be for DOG, FISH, and BUDGIE?

Can you find any animal names that would have ‘numbers’ larger than 100?

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